352728180 has 144 divisors (see below), whose sum is σ = 1228491264. Its totient is φ = 80248320.

The previous prime is 352728139. The next prime is 352728193. The reversal of 352728180 is 81827253.

It is a super-2 number, since 2×352728180² = 248834337932224800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 340944 + ... + 341976.

Almost surely, 2^352728180 is an apocalyptic number.

352728180 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 352728180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614245632).

352728180 is an abundant number, since it is smaller than the sum of its proper divisors (875763084).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

352728180 is a wasteful number, since it uses less digits than its factorization.

352728180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1326 (or 1321 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 352728180 is about 18781.0590755687. The cubic root of 352728180 is about 706.5562122171.

The spelling of 352728180 in words is "three hundred fifty-two million, seven hundred twenty-eight thousand, one hundred eighty".